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  1. 1

    New Integral Operator for Analytic Functions by H. Özlem Güney, Shigeyoshi Owa, Adel A. Attiya

    Published 2024-01-01
    “…For fz∈Apn, new integral operators O−jfz and Ojfzj=0,1,2,⋯. are considered. …”
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    Article
  2. 2

    On General Integral Operator of Analytic Functions by Nasser Alkasbi, Maslina Darus

    Published 2013-01-01
    “…Let be the integral operator defined by , where each of the functions and is, respectively, analytic functions and functions with positive real part defined in the open unit disk for all . …”
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    Article
  3. 3

    Hölder’s inequality for shifted quantum integral operator by Andrea Aglić Aljinović, Lana Horvat Dmitrović, Ana Žgaljić Keko

    Published 2025-06-01
    “…We show by two counterexamples that Hölder’s inequality for shifted quantum integral operator does not hold in general and we prove the case in which it is valid.…”
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    Article
  4. 4

    On Univalence Criteria for a General Integral Operator by Vasile Marius Macarie, Daniel Breaz

    Published 2012-01-01
    “…We consider a new general integral operator, and we give sufficient conditions for the univalence of this integral operator in the open unit disk of the complex plane. …”
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  5. 5

    Embedding of Besov Spaces and the Volterra Integral Operator by Dan Qu, Xiangling Zhu, Ruishen Qian

    Published 2021-01-01
    “…Meanwhile, the boundedness, compactness, and essential norm of the Volterra integral operator Tg from Besov spaces to a class of general function spaces are also investigated.…”
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    Article
  6. 6

    Certain integral operator and strongly starlike functions by Jin-Lin Liu

    Published 2002-01-01
    “…By making use of an integral operator defined by Jung et al. (1993), we introduce two novel families of strongly starlike functions Sβα(ρ,γ) and Cβα(ρ,γ). …”
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  7. 7
  8. 8

    The Univalence Conditions of Some Integral Operators by Laura Stanciu

    Published 2012-01-01
    “…We introduce new integral operators of analytic functions f and g defined in the open unit disk U. …”
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    Article
  9. 9

    Properties of Univalence for a New General Integral Operator Defined as a Joint Extension of Two Known Integral Operators by Nicoleta Breaz

    Published 2023-01-01
    “…In this paper, we consider a new general integral operator, defined as a joint extension of two already known integral operators, and prove some univalence properties for this operator. …”
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    Article
  10. 10

    Starlikeness Properties of a New Integral Operator for Meromorphic Functions by Aabed Mohammed, Maslina Darus

    Published 2011-01-01
    “…We define here an integral operator ℋ𝛾1,…,𝛾𝑛 for meromorphic functions in the punctured open unit disk. …”
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    Article
  11. 11

    Bernardi Integral Operator and Its Application to the Fourth Hankel Determinant by Abid Khan, Mirajul Haq, Luminiţa-Ioana Cotîrlă, Georgia Irina Oros

    Published 2022-01-01
    “…In this paper, making use of the Bernardi integral operator, we define a new class of starlike functions associated with the sine functions. …”
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    Article
  12. 12

    On Ostrowski Type Inequalities for Generalized Integral Operators by Martha Paola Cruz, Ricardo Abreu-Blaya, Paul Bosch, José M. Rodríguez, José M. Sigarreta

    Published 2022-01-01
    “…In this paper, we show some new results related to Ostrowski type inequalities for generalized integral operators.…”
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  13. 13
  14. 14

    Generalized Fractional Integral Operators and M-Series by A. M. Khan, R. K. Kumbhat, Amit Chouhan, Anita Alaria

    Published 2016-01-01
    “…Two fractional integral operators associated with Fox H-function due to Saxena and Kumbhat are applied to M-series, which is an extension of both Mittag-Leffler function and generalized hypergeometric function pFq. …”
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  15. 15

    Denoising Algorithm Based on Generalized Fractional Integral Operator with Two Parameters by Hamid A. Jalab, Rabha W. Ibrahim

    Published 2012-01-01
    “…In this paper, a novel digital image denoising algorithm called generalized fractional integral filter is introduced based on the generalized Srivastava-Owa fractional integral operator. The structures of n×n fractional masks of this algorithm are constructed. …”
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  16. 16

    The Boundedness of Commutators of Singular Integral Operators with Besov Functions by Xionglue Gao, Bolin Ma

    Published 2010-01-01
    “…In this paper, we prove the boundedness of commutator generated by singular integral operator and Besov function from some Ld to Triebel-Lizorkin spaces.…”
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  17. 17

    Fractional integral operators on Herz spaces for supercritical indices by Yasuo Komori-Furuya

    Published 2011-01-01
    “…We consider the boundedness of fractional integral operators Iβ on Herz spaces Kqα,p(Rn), where q≥n/β. …”
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  18. 18

    Kudriasov Type Univalence Criteria for Some Integral Operators by Virgil Pescar, Nicoleta Breaz

    Published 2013-01-01
    “…We consider some integral operators defined by analytic functions in the open unit disk and derive new univalence criteria for these operators, using Kudriasov condition for a function to be univalent.…”
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  19. 19

    Majorization for Certain Classes of Analytic Functions Defined by Fournier–Ruscheweyh Integral Operator by Murli Manohar Gour, Pranay Goswami, Basem Aref Frasin, Saad Althobaiti

    Published 2022-01-01
    “…In this paper, we introduce three new classes SkaM,N;μ,Rkaμ, and Tkaθ of analytic functions defined by Fournier–Ruscheweyh integral operator. For these classes, we investigate the majorization problem. …”
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  20. 20

    A Third-Order Differential Equation and Starlikeness of a Double Integral Operator by Rosihan M. Ali, See Keong Lee, K. G. Subramanian, A. Swaminathan

    Published 2011-01-01
    “…These functions f are given by a double integral operator of the form f(z)=∫01∫01‍G(ztμsν)t-μs-νds dt with G' subordinated to h. …”
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